Solve 5/8-7/12+1/4=

$$\frac { 5 } { 8 } - \frac { 7 } { 12 } + \frac { 1 } { 4 } =$$

Evaluate

$$\frac{7}{24}\approx 0.291666667$$

Solution Steps

Least common multiple of 8 and 12 is 24. Convert \frac{5}{8} and \frac{7}{12} to fractions with denominator 24.

$$\frac{15}{24}-\frac{14}{24}+\frac{1}{4}$$

Since \frac{15}{24} and \frac{14}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-14}{24}+\frac{1}{4}$$

Subtract 14 from 15 to get 1.

$$\frac{1}{24}+\frac{1}{4}$$

Least common multiple of 24 and 4 is 24. Convert \frac{1}{24} and \frac{1}{4} to fractions with denominator 24.

$$\frac{1}{24}+\frac{6}{24}$$

Since \frac{1}{24} and \frac{6}{24} have the same denominator, add them by adding their numerators.

$$\frac{1+6}{24}$$

Add 1 and 6 to get 7.

$$\frac{7}{24}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3} = 0.2916666666666667$$